Modeling And Differential Equations In Biology

Author : Clifford Henry Taubes
Publisher : Cambridge University Press
ISBN 13 : 1316582787
Total Pages : pages
Book Rating : 4.87/5 ( download)

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Download or read book Modeling Differential Equations in Biology written by Clifford Henry Taubes and published by Cambridge University Press. This book was released on 2008-01-17 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists.

Author : T. A. Burton
Publisher : CRC Press
ISBN 13 : 9780824771331
Total Pages : 300 pages
Book Rating : 4.38/5 ( download)

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Download or read book Modeling and Differential Equations in Biology written by T. A. Burton and published by CRC Press. This book was released on 1980-09-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Persistence in lotka-volterra models of food chains and competition; Mathematical models of humoral immune response; Mathematical models of dose and cell cycle effects in multifraction radiotherapy; Theorical and experimental investigations of microbial competition in continuous culture; A liapunov functional for a class of reaction-diffusion systems; Stochastic prey-predator relationships; Coexistence in predator-prey systems; Stability of some multispecies population models; Population dynamics in patchy environments; Limit cycles in a model of b-cell simulation; Optimal age-specific harvesting policy for a cintinuous time-population model; Models involving differential and integral equations appropriate for describing a temperature dependent predator-prey mite ecosystem on apples.

Author : D.S. Jones
Publisher : CRC Press
ISBN 13 : 1420083589
Total Pages : 462 pages
Book Rating : 4.83/5 ( download)

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Download or read book Differential Equations and Mathematical Biology written by D.S. Jones and published by CRC Press. This book was released on 2009-11-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deepen students' understanding of biological phenomenaSuitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeli

Author : T. A. Burton
Publisher : Routledge
ISBN 13 : 135143103X
Total Pages : 292 pages
Book Rating : 4.33/5 ( download)

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Download or read book Modeling and Differential Equations in Biology written by T. A. Burton and published by Routledge. This book was released on 2017-10-05 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1980. CRC Press is an imprint of Taylor & Francis.

Author : Nikos I. Kavallaris
Publisher : Springer
ISBN 13 : 3319679449
Total Pages : 300 pages
Book Rating : 4.40/5 ( download)

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Download or read book Non-Local Partial Differential Equations for Engineering and Biology written by Nikos I. Kavallaris and published by Springer. This book was released on 2017-11-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.

Author : Avner Friedman
Publisher : Springer
ISBN 13 : 3319083147
Total Pages : 152 pages
Book Rating : 4.48/5 ( download)

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Download or read book Mathematical Modeling of Biological Processes written by Avner Friedman and published by Springer. This book was released on 2014-09-19 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.

Author : C. H. Taubes
Publisher : Cambridge University Press
ISBN 13 : 9780521708432
Total Pages : 526 pages
Book Rating : 4.35/5 ( download)

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Download or read book Modelling Differential Equations in Biology written by C. H. Taubes and published by Cambridge University Press. This book was released on 2008-01-17 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers. Necessary notions from linear algebra and partial differential equations are introduced as and when needed, and in the context of applications. Drawing on a very successful one-semester course at Harvard, this text aims to teach students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary notions from mathematics are introduced as and when needed, and in the context of applications. Aimed at biologists wishing to understand mathematical modelling rather than just learning math methods.

Author : James P. Keener
Publisher : American Mathematical Soc.
ISBN 13 : 1470454289
Total Pages : 308 pages
Book Rating : 4.89/5 ( download)

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Download or read book Biology in Time and Space: A Partial Differential Equation Modeling Approach written by James P. Keener and published by American Mathematical Soc.. This book was released on 2021-06-02 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do biological objects communicate, make structures, make measurements and decisions, search for food, i.e., do all the things necessary for survival? Designed for an advanced undergraduate audience, this book uses mathematics to begin to tell that story. It builds on a background in multivariable calculus, ordinary differential equations, and basic stochastic processes and uses partial differential equations as the framework within which to explore these questions.

Author : Benoît Perthame
Publisher : Springer
ISBN 13 : 331919500X
Total Pages : 199 pages
Book Rating : 4.01/5 ( download)

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Download or read book Parabolic Equations in Biology written by Benoît Perthame and published by Springer. This book was released on 2015-09-09 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.

Author : Leah Edelstein-Keshet
Publisher : SIAM
ISBN 13 : 9780898719147
Total Pages : 629 pages
Book Rating : 4.43/5 ( download)

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Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.